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arXiv · 1608.03108

Robust Output Regulation for Continuous-Time Periodic Systems

Lassi Paunonen
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Abstract

We consider controller design for robust output tracking and disturbance rejection for continuous-time periodic linear systems with periodic reference and disturbance signals. As our main results we present four different controllers: A feedforward control law and a discrete-time dynamic error feedback controller for output tracking and disturbance rejection, a robust discrete-time feedback controller, and finally a discrete-time feedback controller that achieves approximate robust output tracking and disturbance rejection. The presented constructions are also new for time-invariant finite and infinite-dimensional systems. The results are illustrated with two examples: A periodically time-dependent system of harmonic oscillators and a nonautonomous two-dimensional heat equation with boundary disturbance.

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Lassi Paunonen. 2017-01-13. Robust Output Regulation for Continuous-Time Periodic Systems. https://doi.org/10.1109/tac.2017.2654968

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